Factorization theorem for product Hardy spaces
Volume 177 / 2006
Studia Mathematica 177 (2006), 235-249
MSC: Primary 42B20; Secondary 42B30, 42B25.
DOI: 10.4064/sm177-3-4
Abstract
We extend the well known factorization theorems on the unit disk to product Hardy spaces, which generalizes the previous results obtained by Coifman, Rochberg and Weiss. The basic tools are the boundedness of a certain bilinear form on ${\mathbb R}^2_+\times{\mathbb R}^2_+$ and the characterization of ${\rm BMO}({\mathbb R}^2_+\times{\mathbb R}^2_+)$ recently obtained by Ferguson, Lacey and Sadosky.
